Preheat your oven to 350 degrees and grease a 9x5-inch loaf pan.
In a large mixing bowl, mix the bananas and eggs together until they are well combined.
In a separate bowl, stir together the flour, sweetener, salt and baking soda until well combined.
Stir the flour mixture into the banana mixture, just until blended and then stir in the walnuts.
Put the batter into the prepared baking pan and spread it out evenly.
Bake for 50 to 60 minutes or until a toothpick inserted into the center comes out clean or with just a few moist crumbs.
Remove from the oven and let cool for about 5 minutes. After 5 minutes, remove the loaf from the pan and let it cool completely on a wire rack.